Chapter
1.2.1 Non‐Newtonian Viscous Behavior in Laminar Flow
1.2.1.1 Ostwald–de Waele Power‐Law Fluid
1.2.1.5 Herschel–Bulkley Fluid
1.2.2 Non‐Newtonian Viscoelastic Behavior in Laminar Flow
1.2.3 Non‐Newtonian Viscous Behavior in Turbulent Flow
1.2.4 Mildly Elastic Drag‐Reducing Behavior in Turbulent Flow
Chapter 2 Governing Equations
2.1 Thermal Convection without the Presence of Porous Media
2.2 Thermal Convection in the Presence of Porous Media
2.2.1 Inelastic Ostwald–de Waele Fluids
2.2.1.1 Modified Darcy Law for Power‐Law Fluids
2.2.1.2 Darcy–Forchheimer Equation for Power‐Law Fluids
2.2.1.3 Brinkman–Darcy Equation for Power‐Law Fluids
2.2.1.4 Volume‐Averaged Equations for Non‐Darcy Flow of Power‐Law Fluids
2.2.1.5 Boundary‐Layer Equations for Non‐Darcy Flow of Power‐Law Fluids
2.2.1.6 Continuity Equation
2.2.1.7 Momentum Equation
2.2.2 Elastic Fluids with Constant Viscosity
2.2.2.1 Modified Darcy Law for Elastic Fluids with Constant Viscosity
2.3.1 Clear Fluids without Porous Media
Chapter 3 Laminar Forced Convection in External Flows of Non‐Newtonian Fluids
3.1 Inelastic Power‐Law Fluids
3.1.1 Vertical Flat Plate and Wedge of an Arbitrary Included Angle
3.1.1.1 Heat Transfer from Flat Plates
3.1.1.2 Heat Transfer from Wedges
3.1.2 Arbitrary Geometric Configurations
Chapter 4 Laminar Natural Convection in External Flows of Non‐Newtonian Fluids
4.1 Inelastic Power‐Law Fluids
4.1.1 Vertical Flat Plate
4.1.1.1 Constant Temperature Case
4.1.1.2 Constant Heat Flux Case
4.1.1.3 Variable Temperature Case
4.1.2 Vertical Slender Cone
4.2.1 Horizontal Cylinder
Chapter 5 Laminar Mixed Convection in External Flows of Non‐Newtonian Fluids
5.1 Inelastic Power‐Law Fluids
5.1.1 Vertical Flat Plate
5.1.2 Inclined Flat Plate
5.2.1 Horizontal Cylinder
Chapter 6 Criterion for Transition to Turbulence during Natural Convection in External Flows of Non‐Newtonian Fluids
6.1 Inelastic Power‐Law Fluids
6.1.1 Vertical Flat Plate
Chapter 7 Turbulent Natural Convection in External Flows of Non‐Newtonian Fluids
7.1 Inelastic Power‐Law Fluids
7.1.1 Vertical Flat Plate
7.1.2 Arbitrary Geometric Configurations
7.2 Mildly Elastic Drag‐Reducing Fluids
7.2.1 Arbitrary Geometric Configurations
Chapter 8 Turbulent Forced and Mixed Convection in Internal Flows of Non‐Newtonian Fluids
8.1 Inelastic Power‐Law Fluids
8.1.1 Momentum/Heat Transfer Analogy
8.2 Mildly Elastic Drag‐Reducing Fluids
8.2.1 Momentum/Heat Transfer Analogy
Chapter 9 Darcy and Non‐Darcy Natural, Forced, and Mixed Convection in External Flows of Non‐Newtonian Fluids‐Saturated Porous Media
9.1 Inelastic Power‐Law Fluids
9.1.1 Vertical Flat Plate
9.1.1.1 Darcy–Forchheimer Natural Convection
9.1.1.2 Darcy–Forchheimer Forced Convection
9.1.1.3 Darcy–Forchheimer Mixed Convection
9.2 Elastic Fluids of Constant Viscosity
9.2.1 Vertical Flat Plate
9.2.1.1 Darcy Natural Convection
9.2.1.2 Darcy Forced Convection
9.2.1.3 Darcy Mixed Convection
Chapter 10 Darcy and Non‐Darcy Forced Convection in Internal Flows of Non‐Newtonian Fluid‐Saturated Porous Media
10.1 Inelastic Power‐Law Fluids
10.2 Elastic Fluids of Constant Viscosity
Chapter 11 Supplemental Miscellaneous Topics
11.1 Laminar Natural Convection from Vertical Flat Plate to Other Time‐Independent Models
11.1.1.1 Constant Temperature Case
11.1.1.2 Constant Heat Flux Case
11.1.2.1 Constant Temperature Case
11.2 Laminar Natural Convection from Other Geometrical Surfaces to Power‐Law Fluids
11.2.1 Horizontal Cylinder
11.3 Transient Laminar Natural Convection from Vertical Flat Plate to a Bingham Plastic Fluid
11.4 Laminar Mixed Convection to Power‐Law Fluids in Horizontal Tubes
11.5 Laminar Mixed Convection to Power‐Law Fluids in Vertical Tubes
11.5.1 Constant Heat Flux – Upward Flow
11.5.2 Constant Heat Flux – Downward Flow
11.5.3 Constant Wall Temperature—Upward Flow
11.6 Flow Stability in Non‐Newtonian Fluids in Heated Vertical Pipes
11.7 Thermal Convection in a Horizontal Layer of a Non‐Newtonian Fluid
11.8 Pure Darcy Natural Convection from Vertical Flat Plate Embedded in a Porous Medium with a Herschel–Bulkley Fluid
11.9 Pure Darcy Natural Convection from a Point Heat Source Embedded in a Porous Medium with a Power‐Law Fluid
11.10 Pure Darcy Natural Convection from a Line Heat Source Embedded in a Porous Medium with a Power‐Law Fluid
11.11 Pure Darcy Transient Natural Convection from Vertical Flat Plate Embedded in a Porous Medium with a Power‐Law Fluid
11.12 Pure Darcy Transient Natural Convection from Vertical Flat Plate Embedded in a Porous Medium with a Herschel–Bulkley Fluid
11.13 Oscillatory Natural Convection in a Viscoelastic Oldroyd Fluid in Densely Packed Horizontal Porous Layers
11.14 Laminar Natural Convection from Vertical Wavy Plate to Power‐Law Fluids
Heat Transfer to Non-Newtonian Fluids
：Fundamentals and Analytical Expressions
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
